You have full access to this open access article. By exploiting the characterizations from Mehl et al. SIAM J. Matrix Anal.
We propose subspace frameworks for both stability radii that converge at a superlinear rate in theory. The one for the non-Hermitian stability radius benefits from the DH structure-preserving model order reduction techniques, whereas for the Hermitian stability radius we derive subspaces yielding a Hermite interpolation property between the full and projected problems. With the proposed frameworks, we are able to estimate the two stability radii accurately and efficiently for large-scale systems which include a finite-element model of an industrial disk brake.
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Gordon and Breach, New York Found Trends Syst Control 1 , β Van Loan, C. Contemporary Math. Download references. The authors thank two anonymous referees for helpful comments on initial versions of this manuscript. Vahabzade 9, AZ, Baku, Azerbaijan.
